Local Invariants and Pairwise Entanglement in Symmetric Multi-qubit System

Details Local Invariants and Pairwise Entanglement in Symmetric Multi-qubit System Local Invariants and Pairwise Entanglement in Symmetric Multi-qubit System

2005-09-08

arxiv.org/abs/quant-ph/0509056v2

Int. J. Mod. Phys. B, Vol. 20, (2006) 1917-1933

Physics

Quantum Physics

9 pages, 2 figures, REVTEX, Replaced with a published version

Scientific paper

10.1142/S0217979206034406

Pairwise entanglement properties of a symmetric multi-qubit system are analyzed through a complete set of two-qubit local invariants. Collective features of entanglement, such as spin squeezing, are expressed in terms of invariants and a classifcation scheme for pairwise entanglement is proposed. The invariant criteria given here are shown to be related to the recently proposed (Phys. Rev. Lett. 95, 120502 (2005)) generalized spin squeezing inequalities for pairwise entanglement in symmetric multi-qubit states.

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